Vortex Dynamics in Classical Non--Abelian Spin Models

Details Vortex Dynamics in Classical Non--Abelian Spin Models Vortex Dynamics in Classical Non--Abelian Spin Models

1997-12-17

arxiv.org/abs/hep-lat/9712018v2

JETP Lett. 67 (1998) 553-558

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, LaTeX, 1 figure, uses epsf.sty; Introduction is extended and a few references are added; to be published in JETP Lett

Scientific paper

10.1134/1.567725

We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are not responsible for the phase transition contrary to the diagonal vortices. A generalization of the abelian projection approach to SU(N) spin models is briefly discussed.

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